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Simplifying 1(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 1(-6 + x) + 1 = 2(x + -10) + -3 (-6 * 1 + x * 1) + 1 = 2(x + -10) + -3 (-6 + 1x) + 1 = 2(x + -10) + -3 Reorder the terms: -6 + 1 + 1x = 2(x + -10) + -3 Combine like terms: -6 + 1 = -5 -5 + 1x = 2(x + -10) + -3 Reorder the terms: -5 + 1x = 2(-10 + x) + -3 -5 + 1x = (-10 * 2 + x * 2) + -3 -5 + 1x = (-20 + 2x) + -3 Reorder the terms: -5 + 1x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -5 + 1x = -23 + 2x Solving -5 + 1x = -23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 1x + -2x = -23 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = -23 + 0 -5 + -1x = -23 Add '5' to each side of the equation. -5 + 5 + -1x = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -23 + 5 -1x = -23 + 5 Combine like terms: -23 + 5 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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